Question

Sound waves produced by a source pass a point five times every second. Which of the following choices correctly describes the period and frequency of these waves?

The frequency is 1/5 Hz, and the period is 1/5 second.

The frequency is 1/5 second, and the period is 5 Hz.

The period is 1/5 second, and the frequency is 5 Hz.

The period is 5 s, and the frequency is 5 Hz.

Answer 1

The period is 1/5 second, and the frequency is 5 Hz.

Explanation:

Let's start by reviewing some definitions about waves:

- The period of a wave is the time taken for the wave to make one complete cycle. It is indicated with T and it is measured in seconds (s)

- The frequency of a wave is the number of complete cycles made by the wave in one second. It is indicated with f and it is measured in Hertz (Hz). It is equal to the reciprocal of the period:

$f=\frac{1}{T}$

where f is the frequency and T is the period.

In this problem, we have a wave that passes a given point five time per second. This means that the number of oscillations per second is five, and so its frequency is:

$f=\frac{5 cycles}{1 sec}=5 Hz$

It follows than the period of the wave is:

$T=\frac{1}{f}=\frac{1}{5}s$

Therefore, the correct statement is

The period is 1/5 second, and the frequency is 5 Hz.

Learn more about waves, frequency and period:

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Answer 2

Answer:

The period is 1/5 second, and the frequency is 5 Hz.

Explanation: